The Foundations of the Ideal Theory of Zolotarev

1930 ◽  
Vol 37 (3) ◽  
pp. 117 ◽  
Author(s):  
N. Tchebotarev
Keyword(s):  
Ideal Theory ◽  
The Ideal

A Hesitant Intuitionistic Fuzzy Set Approach to Study Ideals of Semirings

2021 ◽  
Vol 10 (3) ◽  
pp. 1-17
Author(s):  
Debabrata Mandal
Keyword(s):  
Set Theory ◽  
Fuzzy Set ◽  
Cartesian Product ◽  
Intuitionistic Fuzzy Set ◽  
Ideal Theory ◽  
Hesitant Fuzzy Set ◽  
Neutrosophic Set ◽  
Intuitionistic Fuzzy ◽  
Interval Valued ◽  
The Ideal

The classical set theory was extended by the theory of fuzzy set and its several generalizations, for example, intuitionistic fuzzy set, interval valued fuzzy set, cubic set, hesitant fuzzy set, soft set, neutrosophic set, etc. In this paper, the author has combined the concepts of intuitionistic fuzzy set and hesitant fuzzy set to study the ideal theory of semirings. After the introduction and the priliminary of the paper, in Section 3, the author has defined hesitant intuitionistic fuzzy ideals and studied several properities of it using the basic operations intersection, homomorphism and cartesian product. In Section 4, the author has also defined hesitant intuitionistic fuzzy bi-ideals and hesitant intuitionistic fuzzy quasi-ideals of a semiring and used these to find some characterizations of regular semiring. In that section, the author also has discussed some inter-relations between hesitant intuitionistic fuzzy ideals, hesitant intuitionistic fuzzy bi-ideals and hesitant intuitionistic fuzzy quasi-ideals, and obtained some of their related properties.

scholarly journals Bivariate Lagrange interpolation at the Padua points: the ideal theory approach

2007 ◽  
Vol 108 (1) ◽  
pp. 43-57 ◽  
Author(s):  
Len Bos ◽  
Stefano De Marchi ◽  
Marco Vianello ◽  
Yuan Xu
Keyword(s):  
Lagrange Interpolation ◽  
Ideal Theory ◽  
Theory Approach ◽  
Padua Points ◽  
The Ideal

Bridging Ideal and Non-Ideal Theory

2017 ◽  
Vol 66 (4) ◽  
pp. 887-902 ◽  
Author(s):  
Alexandru Volacu
Keyword(s):  
Political Theory ◽  
Ideal Theory ◽  
Two Dimensional ◽  
Current State ◽  
The World ◽  
Normative Models ◽  
The Ideal

Many of the recent methodological debates within political theory have focused on the ideal/non-ideal theory distinction. While ideal theorists recognise the need to develop an account of the transition between the two levels of theorising, no general proposal has been advanced thus far. In this article, I aim to bridge this conceptual gap. Towards this end, I first reconstruct the ideal/non-ideal theory distinction within a simplified two-dimensional framework, which captures the primary meanings usually attributed to it. Subsequently, I use this framework to provide an algorithm for the bidirectional transition between ideal and non-ideal theory, based on the incremental derivation of normative models. The approach outlined illuminates the various ways in which principles derived under highly idealised assumptions might be distorted by the circumstances of our current world and illustrates the various paths which we can pursue in moving from our current state of the world to an ideal one.

scholarly journals Hybrid Structures Applied to Ideals in BCI-Algebras

2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
G. Muhiuddin ◽  
D. Al-Kadi ◽  
A. Mahboob
Keyword(s):  
Hybrid Structure ◽  
Ideal Theory ◽  
Hybrid Structures ◽  
The Ideal

In this paper, the notion of hybrid structure is applied to the ideal theory in BCI-algebras. In fact, we introduce the notions of hybrid p -ideal, hybrid h-ideal, and hybrid a-ideal in BCI-algebras and investigate their related properties. Furthermore, we show that every hybrid p -ideal (or h-ideal or a-ideal) is a hybrid ideal in a BCI-algebra but converse need not be true in general and in support, and we exhibit counter examples for each case. Moreover, we consider characterizations of hybrid p -ideal, hybrid h-ideal, and hybrid a-ideal in BCI-algebras.

The Foundations of the Ideal Theory of Zolotarev

1930 ◽  
Vol 37 (3) ◽  
pp. 117-128
Author(s):  
N. Tchebotarev
Keyword(s):  
Ideal Theory ◽  
The Ideal

scholarly journals Degenerations of the generic square matrix, the polar map and the determinantal structure

2018 ◽  
Vol 28 (07) ◽  
pp. 1255-1297 ◽  
Author(s):  
Rainelly Cunha ◽  
Zaqueu Ramos ◽  
Aron Simis
Keyword(s):  
Hessian Matrix ◽  
Main Tool ◽  
Affirmative Answer ◽  
Ideal Theory ◽  
Geometric Means ◽  
The Matrix ◽  
Hessian Determinant ◽  
The Ideal ◽  
Polar Map ◽  
Square Matrix

One studies certain degenerations of the generic square matrix over a field [Formula: see text] along with its main related structures, such as the determinant of the matrix, the ideal generated by its partial derivatives, the polar map defined by these derivatives, the Hessian matrix and the ideal of the submaximal minors of the matrix. The main tool comes from commutative algebra, with emphasis on ideal theory and syzygy theory. The structure of the polar map is completely identified and the main properties of the ideal of submaximal minors are determined. Cases where the degenerated determinant has non-vanishing Hessian determinant show that the former is a factor of the latter with the (Segre) expected multiplicity, a problem envisaged by Landsberg–Manivel–Ressayre by geometric means. Another byproduct is an affirmative answer to a question of F. Russo concerning the codimension in the polar image of the dual variety to a hypersurface.

Dilatation properties of regular local rings

1959 ◽  
Vol 55 (1) ◽  
pp. 1-9
Author(s):  
D. G. Northcott
Keyword(s):  
Dimensional Space ◽  
Geometric Theory ◽  
Commutative Rings ◽  
Ideal Theory ◽  
Local Rings ◽  
Abstract Form ◽  
One Dimensional ◽  
Regular Local Rings ◽  
Dimensional Projective Space ◽  
The Ideal

The results and methods of algebraic geometry, when analysed in terms of modern algebra, have revealed on several occasions algebraic principles of surprising generality. Recently it has become apparent that the geometric theory of infinitely near points has, as it were, an abstract form which forms part of the ideal theory of commutative rings, but there are many details which have yet to be worked out. Roughly speaking, one may say that what corresponds to the theory of the sequence of points on a curve branch is now known in some detail, and forms a substantial addition to our knowledge of the properties of one-dimensional local rings†; but the construction of an abstract theory similarly related to the theory of neighbourhoods in n-dimensional projective space can hardly be said to have been started. A number of necessary preliminary steps were taken by the author in (3)—in the process of providing algebraic foundations for certain applications of dilatation theory—and later some applications were made to 2-dimensional problems. However, the present paper should be regarded as an attempt to initiate a dilatation theory of regular local rings to run parallel to the general theory of infinitely near points in n-dimensional space.

Entanglement Networks of 1,2-Polybutadiene Crosslinked in States of Strain. II. Application of the Mooney-Rivlin Equation to Networks Crosslinked at 0°C

1975 ◽  
Vol 48 (5) ◽  
pp. 1004-1007
Author(s):  
Ole Kramer ◽  
John D. Ferry
Keyword(s):  
Compressive Force ◽  
Ideal Theory ◽  
The State ◽  
Linear Polymers ◽  
Extension Ratio ◽  
Apparent Concentration ◽  
Effective Network ◽  
The One ◽  
Entanglement Network ◽  
The Ideal

Abstract This paper gives the results of a recalculation of the data in Paper I of this series, with an expression for strain energy which is a special case of the Mooney-Rivlin theory, instead of the ideal theory based on Gaussian networks. It was shown in Paper I that the apparent concentration of elastically effective network strands terminated by entanglements, νN, can be estimated by crosslinking linear polymers in states of strain. The maximum value of νN found by this method was about one-half the value obtained from viscoelastic measurements in the rubbery plateau zone, νc=2.5×10−4 mol cm−3. The low value of νN was primarily attributed to the crosslinking temperature being too far (12°) above the glass-transition temperature, Tg. Crosslinking temperatures closer to Tg give values of νN close to νc, as will be shown in Paper III of this series. In addition, it was found that these networks behave slightly differently from the predictions of the ideal Gaussian composite network theory: ideal Gaussian composite networks are isotropic relative to the state of ease whereas these networks exhibit anisotropy of equilibrium swelling, relative to the state of ease, in n-heptane; and νN, instead of being a constant, was found to decrease with increasing extension ratio during crosslinking, λ0. The latter result is illustrated in Figure 1 for irradiation times from 3 to 5 h; here, νN is plotted against the extension ratio, λs, in the state of ease in which the retractive force of the entanglement network and the compressive force of the crosslink network are equal and opposite in direction. The experimental points can be fitted rather well by a curve (not the one shown) with the functional form of a constant divided by λs, like the C2 term in the Mooney-Rivlin equation.

scholarly journals Kepemimpinan Kharismatik Berbasis Pendekatan Pembelajaran Ramah Santri di Pondok Pesantren Fauzan Kecamatan Sukaresmi Kabupaten Garut

2021 ◽  
Vol 6 (3) ◽  
pp. 632-647
Author(s):  
A. Ishaq Fauzi Al-Fauzany ◽  
Engkus Kuswarno ◽  
Ikka Kartika AF ◽  
Uyun Supyan Sauri
Keyword(s):  
Role Model ◽  
Real Life ◽  
Boarding School ◽  
Charismatic Leadership ◽  
Individual Performance ◽  
Ideal Theory ◽  
Primary Sources ◽  
Science Students ◽  
The Ideal

The burden of responsibility to be the figure head of Pondok Pesantren in ensuring the quality of learning that many are faced with the challenge-the challenge of change civilization. Need a high loyalty, integrity full, is able to provide the best individual performance of the Leader of the multi-talented, in educating students with heartfelt, sincere, be personal loved ones and have an attraction worthy of being a role model to all people, be uswah at once has an example in life.. Dissertation using Qualitative Methods, the study about research are descriptive and tend to use the analysis. The process and the meaning is accentuated in qualitative research. The foundation of the theory be used as a guide in order to focus the research in accordance with the facts in the field. The results showed that, of charismatic leadership on a figure Kyai is a skill that consists of a art print life skills of the students and the art of managing a team of educators. Not just the skills to manage an organization, but must be coupled with the ability to supervise, direct, and motivate, in a way that is efficient and effective. Leadership that gives the effect of depth and incredible to motivate their followers in achieving the performance of the ideal. Theory-based Learning friendly students is the process of transper material science and the transformation of implementation science that is adapted to the capacity of students to more easily follow and apply them in real life. Between the Caregiver as the executor of education should be able to mengkulturasikan with primary sources that are used as a reference science students as a provision sailing on life. The Kyai/Sitter Boarding school Fauzan Sukaresmi Garut as well as the elements of Management of a charismatic figure of the presence of the self they are required to master the five basic competence i.e. the Competences of the Spiritual, Personality Competence, Competency Management, Entrepreneurship Competency, Competence, Supervision, and Social Competence.

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